IM 7.1.1 Lesson: What are Scaled Copies?
几何画板及绘图内容加载中,请稍等……
This example demonstrates the concept of scaled copies through multiple geometric figures, including polygons, points, and images, using dilation transformations. The core mathematical concept is similarity and scaling, where figures are enlarged or reduced proportionally while preserving shape. The construction uses GeoGebra's Dilate command on various objects such as points A, B, C, D, polygon c, and images pic1 through pic6, creating scaled copies like pic4' and pic5', with text labels (text1 to text6) for explanation. It is suitable for middle school students (grade 7) learning about ratios, proportions, and geometric transformations, and can be used for classroom instruction or self-study.
GeoGebra 命令及参数
Dilate(pic4, c, J) → pic4'Dilate(pic5, d, M) → pic5'
AI 绘图提示语参考
绘制一幅展示缩放副本概念的几何教学图。图中包含两个多边形,其中一个多边形通过以某点为缩放中心进行放大或缩小,得到其缩放副本,另一个多边形也以另一个点为缩放中心进行类似变换。此外,图中还放置了多张图片,其中两张图片分别以两个不同的缩放中心进行缩放,生成对应的缩放副本。所有图形和图片周围配有简短的文字标签,用于解释缩放比例和对应关系。整体布局清晰,适合初中生理解相似形与比例变换。
以上提示语为根据原始绘图命令整理而来,仅供参考。